What is the solution? 1.00×10−153.9×10−7\frac{1.00 imes10^{-15}}{3.9 imes10^{-7}}

[Fill in the blank],
x 10[Fill in the blank],

Answer to y must have the correct number of significant figures.

Question

What is the solution? 1.00×10−153.9×10−7\frac{1.00	imes10^{-15}}{3.9	imes10^{-7}}

[Fill in the blank],
 x 10[Fill in the blank],

Answer to y must have the correct number of significant figures.

BlackTom AI · Accepted Answer

Here's how to approach this fill-in-the-blank problem, step by step, with attention to significant figures.
First, identify the given quantities: 1.00×10^−15 and 3.9×10^−7. The division you need is (1.00×10^−15) / (3.9×10^−7).
Next, divide the coefficients: 1.00 / 3.9 ≈ 0.256410... This coefficient will determine the leading digits of the result.
Now handle the powers of ten: 10^−15 divided by 10^−7 gives 10^(−15 + 7) = 10^(−8). So the raw result is 0.256410... × 10^(−8).
Convert to proper scientific notation: 0.256410... × 10^(−8) = 2.56410... × 10^(−9).
Consider significant figures: the number 1.00 has 3 significant figures, and 3.9 has 2 significant figures. When multiplying or dividing, the result should have as many significant figures as the factor with the fewest significant figures, which is 2 in this case.
Rounding 2.56410... × 10^(−9) to 2 significant figures gives 2.6 × 10^(−9). This corresponds to a coefficient of 2.6 and an exponent of −9 in scientific notation.
In the fill-in-the-blank format, you would place the two parts as: the first blank filled with 2.6, and the second blank filled with −9. The instruction about significant figures is consistent with keeping two significant digits in the coefficient while maintaining the proper scientific notation.
If you double-check, you can verify that 2.6 × 10^(−9) equals 2.6e−9, which matches the rounded result from 2.56410... × 10^(−9).

M2LA F25 Lab Fundamentals I Quiz

What is the solution? 1.00×10−153.9×10−7\frac{1.00\times10^{-15}}{3.9\times10^{-7}} [Fill in the blank], x 10[Fill in the blank], Answer to y must have the correct number of significant figures.

查看解析

登录即可查看完整答案

类似问题

Give the number of significant figures in each of the following: 2.30

How many significant digits are in the number: 730

How many significant digits are in the number: 0.0059

In a calculation, a scientist obtained the number 0.0008367070 on a calculator. If the number actually had five (5) significant figures, how should it be written?

Select all quantities whose values are exact (contains infinite number of significant figures).

Divide the following two numbers and report your answer to the correct number of significant figures: 0.530 𝑔 ÷ 0.1010 𝑐 𝑚 3 =

Identify the number of significant figures for 40060

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单